Maths Exam

1. Simplify 1

Simplify the following expression: $$ 2\times2(-3) - \left((-(-5)) + -3(-1)\right) $$
Correct Answer
$$ -20$$ or -20.0000

2. Simplify 2

Simplify the following expression: $$ \frac{4\times5 - \left(-3 + -1\right)}{2\frac{-5}{5}} $$
Correct Answer
$$ -12$$ or -12.0000

3. Fractions 1

Simplify the following expression: $$ \frac{3}{4} - \frac{5}{3} $$
Correct Answer
$$ \frac{-11}{12}$$ or -0.9166666666666667

4. Fractions 2

Simplify the following expression: $$ \frac{3}{5}\frac{-3}{6} $$
Correct Answer
$$ \frac{-3}{10}$$ or -0.3

5. Significant figures

1. Write the following to 5 significant figures: 0.00025705289
Correct Answer
0.00025705 or $$2.5705\times10^{-4}$$
2. Write the following to 2 significant figures: 0.00036281401
Correct Answer
0.00036 or $$3.6\times10^{-4}$$

6. Standard Form

1. Write the following in standard form to 3 significant digits: 13.8469
Correct Answer
$$1.38\times10^{1}$$
2. Write the following in standard form to 3 significant digits: 48.6812
Correct Answer
$$4.87\times10^{1}$$

7. Significant figures

1. Write the following in preferred standard form to 5 significant digits: 0.0117084
Correct Answer
$$11.708\times10^{-3}$$
2. Write the following in preferred standard form to 5 significant digits: 0.184357
Correct Answer
$$184.36\times10^{-3}$$

8. Simplify 2

Simplify the following expression: $$ 2\times6(-6)\left({(-1)}^{3} - \frac{5}{-4}\right) $$
Correct Answer
$$ -18$$ or -18.0000

9. Simplify 1

Simplify the following expression: $$ -1 - 3 + 2 - -5 - 2\times1(-1) $$
Correct Answer
$$ 5$$ or 5.00000

10. Simplify 2

Simplify the following expression: $$ 2(-2)(-1) - \frac{4}{4}\frac{-2}{-3} $$
Correct Answer
$$ \frac{10}{3}$$ or 3.33333


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